57: You Said How Much?! (Measure Theory)

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If you are there, and I am here, we can measure the distance between us. If we are standing in a room, we can calculate the area of where we're standing; and, if we want, the volume. These are all examples of measures; which, essentially, tell us how much 'stuff' we have. So what is a measure? How are distance, area, and volume related? And how big is the Sierpinski triangle? All of this and more on this episode of Breaking Math. Ways to support the show: -Visit our Sponsors:   theGreatCoursesPlus.com/breakingmath Get a free month of the Great Courses Plus while supporting this show by clicking here and signing up!    brilliant.org/breakingmath Sign up at brilliant.org, where breaking math listeners get a 20% off of a year subscription of Brilliant Premium! Patreon-Become a monthly supporter at patreon.com/breakingmath Merchandise-Purchase a Math Poster on Tensor Calculus at our facebook store at facebook.com/breakingmathpodcast The theme for this episode was written by Elliot Smith. Episode used in the ad was Buffering by Quiet Music for Tiny Robots. [Featuring: Sofía Baca; Meryl Flaherty] --- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/app Support this podcast: https://anchor.fm/breakingmathpodcast/support